💬 Pythagorean Theorem: Word Problems (8.G.B.7)

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Apply the Pythagorean Theorem to find unknown side lengths. Read each problem. Draw or write to solve. Label your answer.

1. A ladder 41 ft long leans against a wall. Its foot is 9 ft from the wall. How high up the wall does it reach?

Work

Answer: ______________

2. A ladder 30 ft long leans against a wall. Its foot is 18 ft from the wall. How high up the wall does it reach?

Work

Answer: ______________

3. A ladder 25 ft long leans against a wall. Its foot is 7 ft from the wall. How high up the wall does it reach?

Work

Answer: ______________

4. A ladder 13 ft long leans against a wall. Its foot is 5 ft from the wall. How high up the wall does it reach?

Work

Answer: ______________

5. A ladder 15 ft long leans against a wall. Its foot is 9 ft from the wall. How high up the wall does it reach?

Work

Answer: ______________

6. A ladder 17 ft long leans against a wall. Its foot is 8 ft from the wall. How high up the wall does it reach?

Work

Answer: ______________

Answer key: 1) 40 ft · 2) 24 ft · 3) 24 ft · 4) 12 ft · 5) 12 ft · 6) 15 ft

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Worksheets › Grade 8 Math › Pythagorean Theorem › Pythagorean Theorem

Grade 8 (ages 13–14)Numbers & mathsFree printable PDF

About this grade 8 worksheet

Free Grade 8 math worksheet (Common Core 8.G.B.7): pythagorean theorem — real-world word problems, with answer key. Skill: Apply the Pythagorean Theorem to find unknown side lengths. Level: Grade 8 — also suits Year 9 (UK).

For teachers: skills & standards

CCSS 8.G.B.7: Apply the Pythagorean Theorem to find unknown side lengths
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 8 (ages 13–14), but use it with any child who is ready.

What skills does it build?

Apply the Pythagorean Theorem to find unknown side lengths.

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More “Pythagorean Theorem” printables (8.g.b.7: apply the pythagorean theorem to find unknown side lengths)

Pythagorean Theorem: Practice A (8.G.B.7) · Pythagorean Theorem: Practice B (8.G.B.7) · Pythagorean Theorem: Show Your Thinking (8.G.B.7) · Pythagorean Theorem: Quick Check (8.G.B.7)

All 5 pythagorean theorem sheets → · Grade 8 Math: all 10 skills → · All Common Core grades

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